Inverse Scattering Results for Manifolds Hyperbolic Near Infinity

被引：0

作者：

David Borthwick

Peter A. Perry

机构：

[1] Emory University,Department of Mathematics and Computer Science

[2] University of Kentucky,Department of Mathematics

来源：

Journal of Geometric Analysis | 2011年 / 21卷

关键词：

Inverse scattering; Hyperbolic; Resonance; 58J50; 35P25; 47A40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the inverse resonance problem for conformally compact manifolds which are hyperbolic outside a compact set. Our results include compactness of isoresonant metrics in dimension two and of isophasal negatively curved metrics in dimension three. In dimensions four or higher we prove topological finiteness theorems under the negative curvature assumption.

引用

页码：305 / 333

页数：28

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